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Real enumerative invariants relative to the toric boundary and their refinement

2024/01/12 by Ilia Itenberg, Itenberg, Ilia, Eugeniĭ Shustin +1 · 2 citations
Mathematics · #Commutative Algebra and Its Applications #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2401.06718

Abstract

We introduce new invariants of a class of toric surfaces (including the projective plane) that arise from appropriate enumeration of real curves of genus one and two. These invariants admit a refinement similar to the one introduced by Grigory Mikhalkin in the rational case.

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